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Finding the Fourth Proportional to 521,541.51, 782,189.51 and 142,372.10

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Solution

The fourth proportional to 521,541.51, 782,189.51 and 142,372.10 is: 213,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,541.51 : 782,189.51 = 142,372.10 : x
  2. Step 2: Convert to fraction form
    521,541.51/782,189.51 = 142,372.10/x
  3. Step 3: Cross multiply
    521,541.51x = 782,189.51 × 142,372.10
  4. Step 4: Simplify right side
    521,541.51x = 111,361,964,380.28
  5. Step 5: Solve for x
    x = 111,361,964,380.28/521,541.51
  6. Step 6: Final answer
    x = 213,524.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.